Question

Find the nth term of each geometric sequence.

a = 4, n = 7, r = -3

Answer 1

Ok so we know that a sequence has the form of \[\{ a, ar, ar^2, ar^3 ...\}\]
We also know that the equation when finding a specific term of a geometric sequence is \[t_n=ar^{n-1}\]
So plug in the values into your equation and you will get your answer

Answer 2

thank you :) so t^n=^4-^-1?

Answer 3

what?

Answer 4

4-1=3

Answer 5

\[t_7=4(-3)^{7-1}\]

Answer 6

ohh sorry okay hold on

Answer 7

i typed all of that in my caculator and i got-8749

Answer 8

Okkk now (-3)^6=(-3)*(-3)*(-3)*(-3)*(-3)*(-3)=729
Since there are an even amount of negative symbols then and 2 negatives make a positive so (-3)^6=729

Answer 9

Then we multiply it by 4 and we get 2916

Answer 10

thank you!! you are a great teacher!